# Number System

 Question 1
Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.
Which one of the following corresponds to the product of these numbers (i.e., P x Q), represented in the IEEE-754 single precision format?
 A 0x404C2EF4 B 0x405C2EF4 C 0xC15C2EF4 D 0xC14C2EF4
GATE CSE 2023   Digital Logic
Question 1 Explanation:
 Question 2
A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is _____.
 A 158 B 118 C 110 D 98
GATE CSE 2023   Digital Logic
Question 2 Explanation:

 Question 3
Consider three floating point numbers A, B and C stored in registers $R_A$, $R_B$ and $R_C$, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

$R_A=0xC1400000$
$R_B=0x42100000$
$R_C=0x41400000$

Which one of the following is FALSE?
 A $A+C=0$ B $C=A+B$ C $B=3C$ D $(B-C) \gt 0$
GATE CSE 2022   Digital Logic
Question 3 Explanation:
 Question 4
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?
 A R1 = 1011 and R2 = 1110 B R1 = 1100 and R2 = 1010 C R1 = 0011 and R2 = 0100 D R1 = 1001 and R2 = 1111
GATE CSE 2022   Digital Logic
Question 4 Explanation:
 Question 5
If the numerical value of a 2-byte unsigned integer on a little endian computer is 255 more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer?
[MSQ]
 A 0x6665 B 0x0001 C 0x4243 D 0x0100
GATE CSE 2021 SET-2   Digital Logic
Question 5 Explanation:

There are 5 questions to complete.